What is the Greatest Common Factor of 57852 and 57871?

Greatest common factor (GCF) of 57852 and 57871 is 1.

GCF(57852,57871) = 1

We will now calculate the prime factors of 57852 and 57871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57852 and 57871.

How to find the GCF of 57852 and 57871?

We will first find the prime factorization of 57852 and 57871. After we will calculate the factors of 57852 and 57871 and find the biggest common factor number .

Step-1: Prime Factorization of 57852

Prime factors of 57852 are 2, 3, 1607. Prime factorization of 57852 in exponential form is:

57852 = 2² × 3² × 1607¹

Step-2: Prime Factorization of 57871

Prime factors of 57871 are 11, 5261. Prime factorization of 57871 in exponential form is:

57871 = 11¹ × 5261¹

Step-3: Factors of 57852

List of positive integer factors of 57852 that divides 57852 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1607, 3214, 4821, 6428, 9642, 14463, 19284, 28926

Step-4: Factors of 57871

List of positive integer factors of 57871 that divides 57852 without a remainder.

1, 11, 5261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57852 and 57871. The biggest common factor number is the GCF number.
So the greatest common factor 57852 and 57871 is 1.

Also check out the Least Common Multiple of 57852 and 57871